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Simplifying -1[10z + -1(20z + 8)] = 8 + (9z + 5) Reorder the terms: -1[10z + -1(8 + 20z)] = 8 + (9z + 5) -1[10z + (8 * -1 + 20z * -1)] = 8 + (9z + 5) -1[10z + (-8 + -20z)] = 8 + (9z + 5) Reorder the terms: -1[-8 + 10z + -20z] = 8 + (9z + 5) Combine like terms: 10z + -20z = -10z -1[-8 + -10z] = 8 + (9z + 5) [-8 * -1 + -10z * -1] = 8 + (9z + 5) [8 + 10z] = 8 + (9z + 5) Reorder the terms: 8 + 10z = 8 + (5 + 9z) Remove parenthesis around (5 + 9z) 8 + 10z = 8 + 5 + 9z Combine like terms: 8 + 5 = 13 8 + 10z = 13 + 9z Solving 8 + 10z = 13 + 9z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-9z' to each side of the equation. 8 + 10z + -9z = 13 + 9z + -9z Combine like terms: 10z + -9z = 1z 8 + 1z = 13 + 9z + -9z Combine like terms: 9z + -9z = 0 8 + 1z = 13 + 0 8 + 1z = 13 Add '-8' to each side of the equation. 8 + -8 + 1z = 13 + -8 Combine like terms: 8 + -8 = 0 0 + 1z = 13 + -8 1z = 13 + -8 Combine like terms: 13 + -8 = 5 1z = 5 Divide each side by '1'. z = 5 Simplifying z = 5
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